Question

$a) (x^{2} - \frac{x}{2} )^{2}$

Answer 1

$\mathrm{(a+b)^2=a^2+2ab+b^2}\\\\ \mathrm{\bigg(x^2-\dfrac{x}{2}\bigg)^2=\big(x^2\big)^2+2.x^2.\bigg(\dfrac{-x}{2}\bigg)+\bigg(\dfrac{-x}{2}\bigg)^2=}\\\\ \mathbf{=x^4-x^3+\dfrac{x^2}{4}}$